SOLUTION: Susan can paint a room in 6 hrs, while Tom can paint the same room in 5 hrs. Working together, how long will it take them to paint the room?

Question 412877: Susan can paint a room in 6 hrs, while Tom can paint the same room in 5 hrs. Working together, how long will it take them to paint the room?
Answer by frankq(1) (Show Source): You can put this solution on YOUR website!
Since Susan can paint a room in 6 hours, she can paint 1/6 of a room in an hour.
Since Tom can paint a room in 5 hours, he can paint 1/5 of a room in an hour.
After x hours, they together can paint
1/6 x + 1/5 x rooms
1/6 x + 1/5 x = 1
(1/6 + 1/5) x = 1
11/30 x = 1
x = 30/11 hours
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